2010/05/10 by Chethan Krishnan
Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Horizon #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum mechanics #Rotating black hole #Rotation (mathematics) #Space (punctuation) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2011.02.017
published as Nucl.Phys.B848:268-287,2011 · 25 pages, 3 figures
arxiv created 2010/05/10 · openalex publication_date 2011/02/26 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recent developments suggest that the near-region of rotating black holes behaves like a CFT. To understand this better, I propose to study quantum fields in this region. An instructive approach for this might be to put a large black hole in AdS and to think of the entire geometry as a toy model for the ``near-region". Quantum field theory on rotating black holes in AdS can be well-defined (unlike in flat space), if fields are quantized in the co-rotating-with-the-horizon frame. First, some generalities of constructing Hartle-Hawking Green functions in this approach are discussed. Then as a specific example where the details are easy to handle, I turn to 2+1 dimensions (BTZ), write down the Green functions explicitly starting with the co-rotating frame, and observe some structural similarities they have with the Kerr-CFT scattering amplitudes. Finally, in BTZ, there is also an alternate construction for the Green functions: we can start from the covering AdS3 space and use the method of images. Using a 19th century integral formula, I show the equality between the boundary correlators arising via the two constructions.